Category Archives: Common Core Algebra I

Common Core Algebra I, easy, Regents, test prep

Get the Points and Get the Math Jan 16 CC Alg I #4

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From the Jan 2016 CC Alg I Regents

Jan 2016 Algebra I 4

For some reason the Regents loves rational vs irrational.
Look at the 4 expressions on the TI-84.
Which one(s) result in something different?

Jan 2016 CC Alg I 4 TI84

If you said (II) you are correct.  What makes (II) different?  
It is irrational!  Do you see a pattern?  You should not see a pattern :)
Some popular examples of irrational numbers are: √2, √3 and  ∏.

In contrast, all other choices are rational.
What word is in the word rational?  (sometimes s’s say rat!!)
OK, um what Math word is in the word rational?  (ratio!!)
Rational means can be written as a fraction and rational numbers terminate or have a pattern.  -.025 terminates as does 5 and 21 so they are all rational.

 

 

Common Core Algebra I, easy, Regents, test prep

Get the Math and Get the Points #3 Jan 2016 CC Alg I

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From the January 2016 Common Core Algebra I Regents:

Jan 2016 Alg I Regents 3

This is a TI-83/4 question:  Put the equation into Y=
Hit 2nd graph to see the table
Make note of the Y values when x =3 and x = 5
Find the difference (subtract) those two values and there you have it!!

(Be careful as both of the values are listed as answer choices but the difference is what is important)

Week 3 27.163    Week 5 10.107  subtract them and you have your answer for 2 points!!

Jan 2016 Alg I Regents 3 (1)

If you don’t want to use the table you can just plug in 3 as the exponent in the equation and get 119.67(0.61)^3 = 27.163  and then plug in 5 as the value of x and get 10.107 and then find the difference.

To further learning, extension questions include:
What kind of function is this?  How do you know?
Is it growing or decaying?  What is the growth/decay rate?
What is the difference between revenue and profit?
Find a recent movie that grossed >$119 million in its first week of release

For student classwork/homework, here is the Word file:
Jan 2016 CC Alg I 3 Get the Math and the Points

 

 

 

 

 

 

Common Core Algebra I, medium, Regents, test prep

Get the Math and Get the Points!! Jan 2016 CC Algebra I Regents #2

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From the January 2016 Common Core Algebra I Regents

Jan 2016 Regents A1 2 Gas
This is a reading and noticing question with no TI-83/4 needed.
5 points are shown on this line but only 3 are easy to read: (4,15), (8,30) and (12,45)

Let’s check out each of the multiple choice options:
(1) When x = 10, is y = 35? (look carefully!)
(2) Look at the first point at a ‘crosshair’, (4,15)  divide $15 by 4, what do you get?
You can also use (30 divided by 8 or 45 divided by 12)
(3) When x = 2, is y = 5?  (look carefully!)
(4)  You can still drive if you did not buy gas (as long as there is gas in the tank!!)

For student classwork/homework, here is the Word file:
Jan 2016 CC Alg I 2 Get the Math and the Points

 

Common Core Algebra I, easy, Regents, test prep

Get the Math and Get the Points!! Jan 2016 CC Alg I #1 Notice x!!

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As part of the Learn, Pass, Graduate series on the Regents exam, problems from the tests will be featured on a daily basis.
From the January 2016 Common Core Algebra I Regents

Jan 2016 Alg I 1

Jan 2016 Alg I Regents 1

Use your TI-84
Put the equation into Y=, then press graph!!

Read carefully — they want the       x     value of the minimum point
 (not the y value which can be seen at (2,4).

This is easy ladies and gents — this is attention to detail.
2 points done!!

This is a great Do Now or exit slip…also easy to do at home :)

For student classwork/homework, here is the Word file: Jan 2016 CC Alg I 1 Word

Common Core Algebra I, Regents, test prep

Get the Math and Get the Points

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Jan 2015 A1 Regents 3 Factoring

Every student should get 2 points from this type of question

Jan 2015 Regents #3:

This can be seen as a factoring question but there are many ways to do this question!!

  1. Checking the FOIL of all 4 answers to see which is equivalent to the original.
    and because First is 2x *x = 2x^2 Outer is -1*2x = -2x Inner is 3 *x which is 3x and 3 *-1 which is -3.  Combining the x terms of -2x and 3x creates a middle term of x so that the trinomial is 2x^2 +x – 3.

2. Using the logic values on the TI-83/4

Screen3 Factoring

In the photo above you can see that The answer is #4 because the truth value is “1” or TRUE.

3. Using Y1 and Y2
Students can also put the original equation into Y1 = 2x^2 + x – 3 and then try the other 4 equations into Y2.  They can check the graph to see if the two Y= are identical and/or they can check the Table to see if the xy points match.

The test is 3 hours so students should spend time checking their answers with multiple methods!

This 2 point question answered correctly can help students pass the Regents and understand the Math.